Question

find gof and fog f(x)=x^2+3 and g(x)=x^3-1​

Answer 1

Answer:

f(x)=x²+3

g(x)=x³-1

fog=

f(g(x))=

f(x³-1)=

(x³-1)²+3=

x⁶+1-2x³+3=

x⁶-2x³+4

gof=

g(f(x))=

g(x²+3)=

(x²+3)³-1=

x⁶+27+3(x²)(3)²+3(x²)²(3)-1=

x⁶+27+27x²+9x⁴-1=

x⁶+9x⁴+27x²+26=0